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Question 216752: if a cube has a surface area of 294cm2, what are its dimensions and what is its volume?
Found 2 solutions by drj, Alan3354:
Answer by drj(1380)   (Show Source):
You can put this solution on YOUR website! If a cube has a surface area of 294cm2, what are its dimensions and what is its volume?
Step 1. Surface Area = 6 * Area of Square Face = 6s^2 where s is the side or edge of the cube.
Step 2. Then, 294=6s^2 or 49=s^2 after dividing by 6 to both sides of the equation. Taking the square root to both sides yields s=7.
Step 3. The volume = V = s^3 = 7^3 = 343 cubic cm.
Step 4. ANSWER. The dimensions are 7 cm by 7 cm by 7 cm and the volume is 343 cubic cm.
I hope the above steps were helpful.
For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
And good luck in your studies!
Respectfully,
Dr J
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! if a cube has a surface area of 294cm2, what are its dimensions and what is its volume?
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A cube has 6 faces, all their areas are equal
294 cm^2/6 = 49 sq cm
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Each face is a square, so its area is s^2 (s = length of sides)
s^2 = 49
s = 7 cm
That's its dimensions, all sides are 7 cm
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Vol = s^3 = 7^3
vol = 343 cc
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